Summarizing information

1) The number of boys in a class is twice the number of girls

Of the 27 children in a certain class How many are boys ?

2) There are 9 more boys than there the girls

Summarizing information BEFORE examining the statement

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Summarizing information

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1) The number of boys in a class is twice the number of girls

Of the 27 children in a certain class How many are boys ?

2) There are 9 more boys than there the girls

Let B = Number of BoysLet G = Number of Girls B + G = 27

B = 2G

B + G = 27 But

B = G + 9

As per the statement 1st

As per the statement 2nd B + G = 27

Example

If the average (arithmetic mean) of W, X and Y is -30 , What is the Value of Y ?

(W + X + Y) / 3 = -30

OR

W + X + Y = -90

Y = ?

Rajiv receives base salary each month plus a 7 percent commission on his total sales revenue for that month . What was Rajiv’s total sales revenue last month ?

Let B= Base SalaryLet R = total sales revenueLet P = total pay last month

Commission = 0.07 RP = B + 0.07R

R = ?